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## Jones, G. Stephen

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 Author ID: jones.g-stephen Published as: Jones, G. Stephen; Jones, G. S.; Jones, G. St.; Jones, G.
 Documents Indexed: 20 Publications since 1961, including 1 Book

#### Co-Authors

 17 single-authored 1 Cheng, Russell C. H. 1 Strauss, Aaron 1 Yorke, James Alan
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#### Serials

 2 Journal of Mathematical Analysis and Applications 2 Mathematical Systems Theory 2 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Differential Equations 1 SIAM Review 1 Journal of the Society for Industrial & Applied Mathematics 1 Lecture Notes in Mathematics
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#### Fields

 5 General topology (54-XX) 3 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Systems theory; control (93-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

13 Publications have been cited 213 times in 180 Documents Cited by Year
The existence of periodic solutions of $$f'(x)=-\alpha f(x-1)(1+f(x))$$. Zbl 0106.29504
Jones, G. Stephen
1962
On the nonlinear differential-difference equation $$f'(x)=-\alpha f(x- 1)(1+f(x))$$. Zbl 0106.29503
Jones, G. Stephen
1962
Fundamental inequalities for discrete and discontinuous functional equations. Zbl 0154.05702
Jones, G. St.
1964
Stability and asymptotic fixed-point theory. Zbl 0131.13601
Jones, G. S.
1965
Periodic motions in Banach space and applications to functional- differential equations. Zbl 0135.37001
Jones, G. S.
1964
Hereditary structure in differential equations. Zbl 0154.33902
Jones, G. S.
1967
Asymptotic behavior and periodic solutions of a nonlinear differential- difference equation. Zbl 0099.29502
Jones, G. Stephen
1961
The existence and nonexistence of critical points in bounded flows. Zbl 0198.13101
Jones, G. S.; Yorke, J. A.
1969
A functional approach to fixed-point analysis of noncompact operators. Zbl 0265.54047
Jones, G. Stephen
1973
Hereditary dependence in dynamics. Zbl 0162.13205
Jones, G. S.
1967
The existence of critical points in generalized dynamical systems. Zbl 0185.17703
Jones, G. S.
1968
Asymptotic fixed point theorems and periodic systems of functional- differential equations. Zbl 0131.13602
Jones, G. S.
1963
Periodic functions generated as solutions of nonlinear differential- difference equations. Zbl 0132.32403
Jones, G. S.
1963
A functional approach to fixed-point analysis of noncompact operators. Zbl 0265.54047
Jones, G. Stephen
1973
The existence and nonexistence of critical points in bounded flows. Zbl 0198.13101
Jones, G. S.; Yorke, J. A.
1969
The existence of critical points in generalized dynamical systems. Zbl 0185.17703
Jones, G. S.
1968
Hereditary structure in differential equations. Zbl 0154.33902
Jones, G. S.
1967
Hereditary dependence in dynamics. Zbl 0162.13205
Jones, G. S.
1967
Stability and asymptotic fixed-point theory. Zbl 0131.13601
Jones, G. S.
1965
Fundamental inequalities for discrete and discontinuous functional equations. Zbl 0154.05702
Jones, G. St.
1964
Periodic motions in Banach space and applications to functional- differential equations. Zbl 0135.37001
Jones, G. S.
1964
Asymptotic fixed point theorems and periodic systems of functional- differential equations. Zbl 0131.13602
Jones, G. S.
1963
Periodic functions generated as solutions of nonlinear differential- difference equations. Zbl 0132.32403
Jones, G. S.
1963
The existence of periodic solutions of $$f'(x)=-\alpha f(x-1)(1+f(x))$$. Zbl 0106.29504
Jones, G. Stephen
1962
On the nonlinear differential-difference equation $$f'(x)=-\alpha f(x- 1)(1+f(x))$$. Zbl 0106.29503
Jones, G. Stephen
1962
Asymptotic behavior and periodic solutions of a nonlinear differential- difference equation. Zbl 0099.29502
Jones, G. Stephen
1961
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#### Cited by 213 Authors

 12 Nussbaum, Roger David 7 Gopalsamy, Kondalsamy 7 Kashchenko, Sergeĭ Aleksandrovich 5 Jones, G. Stephen 5 Kuang, Yang 4 Cheng, Rong 4 Hale, Jack Kenneth 4 Lessard, Jean-Philippe 4 Smith, Hal Leslie 4 Walther, Hans-Otto 4 Wu, Ke 4 Wu, Xian 4 Yu, Jian-She 3 Berezansky, Leonid M. 3 Braverman, Elena 3 Chow, Shui-Nee 3 Cushing, Jim M. 3 Guo, Zhiming 3 Jaquette, Jonathan 3 Mallet-Paret, John Joseph 3 Xiao, Huafeng 3 Yorke, James Alan 3 Zhang, Binggen 2 Bruveris, Martins 2 Dormayer, Peter 2 Hadeler, Karl-Peter 2 Ivanov, Anatoli F. 2 Kahn, Peter B. 2 Kaplan, James L. 2 Kolesov, Andreĭ Yur’evich 2 Krawcewicz, Wieslaw Z. 2 Lani-Wayda, Bernhard 2 Lin, Juan 2 Morita, Yoshihisa 2 Röst, Gergely 2 Rozov, Nikolaĭ Khristovich 2 Taylor, James G. 2 Wu, Jianhong 2 Yeh, Cheh-Chih 2 Yoshizawa, Taro 2 Zhang, Xiaosheng 2 Zhao, Tao 2 Zhou, Ping 1 Aiello, Walter G. 1 Akhmerov, Ramil R. 1 Andres, Jan 1 Anikonov, Yuriĭ Evgenievich 1 Arino, Ovide 1 Athanassov, Zhivko S. 1 Bai, Rongji 1 Balanov, Zalman I. 1 Bánhelyi, Balázs 1 Bartoszewski, Zbigniew 1 Bauer, Martin 1 Bodnar, Marek 1 Borysenko, S. D. 1 Brandi, Primo 1 Briand, Philippe 1 Browder, Felix Earl 1 Brzeźniak, Zdzisław 1 Cai, Hao 1 Caixue, Chen 1 Cao, Wanrong 1 Cardaliaguet, Pierre 1 Ceppitelli, Rita 1 Chandra, Jagdish 1 Chaudru De Raynal, Paul-Eric 1 Cheban, David Nikolai 1 Chen, Lichun 1 Chen, Yuming 1 Cho, Yongjin 1 Ciarletta, Michele 1 Corduneanu, Constantin 1 Cruz, Marianito A. 1 Csendes, Tibor 1 Delfour, Michel Claude 1 Deng, Xiaoqing 1 Desoer, Charles A. 1 Dodd, Roger K. 1 Erbe, Lynn Harry 1 Feldstein, Alan 1 Fleishman, Bernard A. 1 Fowler, Andrew C. 1 Furumochi, Tetsuo 1 Garay, Barnabas M. 1 Glitzky, Annegret 1 Glyzin, D. S. 1 Glyzin, Sergeĭ D. 1 Gölgeleyen, İsmet 1 Gollwitzer, Herman E. 1 Górniewicz, Lech 1 Grafton, Robert B. 1 Gröger, Konrad 1 Groothedde, C. M. 1 Guo, Shangjiang 1 Gurney, William S. C. 1 Gustafson, Grant B. 1 Hautus, Matheus L. J. 1 Herdegen, Martin 1 Herrmann, Sebastian ...and 113 more Authors
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#### Cited in 74 Serials

 26 Journal of Differential Equations 25 Journal of Mathematical Analysis and Applications 7 Journal of Mathematical Biology 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Tohoku Mathematical Journal. Second Series 5 Nonlinear Analysis. Theory, Methods & Applications 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Dynamics and Differential Equations 3 Applicable Analysis 3 Mathematical Biosciences 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Journal of Computational and Applied Mathematics 3 Transactions of the American Mathematical Society 3 Nonlinear Analysis. Real World Applications 2 Bulletin of the Australian Mathematical Society 2 International Journal of Systems Science 2 Journal of the Franklin Institute 2 Mathematical Notes 2 Applied Mathematics and Computation 2 Mathematische Annalen 2 Mathematical Systems Theory 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 Japan Journal of Applied Mathematics 2 Dynamics and Stability of Systems 2 Abstract and Applied Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Advances in Difference Equations 2 Bulletin of the American Mathematical Society 2 Journal of Fixed Point Theory and Applications 1 Archive for Rational Mechanics and Analysis 1 International Journal of Control 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Bulletin of Mathematical Biology 1 Annales Polonici Mathematici 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Theoretical Population Biology 1 Mathematical and Computer Modelling 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Journal of Difference Equations and Applications 1 Electronic Journal of Probability 1 Mathematical Problems in Engineering 1 Mathematical Population Studies 1 Doklady Mathematics 1 Nonlinear Dynamics 1 Discrete Dynamics in Nature and Society 1 Communications in Nonlinear Science and Numerical Simulation 1 Differential Equations 1 Matematicheskoe Modelirovanie 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 SIAM Journal on Applied Dynamical Systems 1 Fixed Point Theory and Applications 1 Boundary Value Problems 1 Kodai Mathematical Seminar Reports 1 Proceedings of the Steklov Institute of Mathematics 1 Applications and Applied Mathematics 1 Journal of Geometric Mechanics 1 Journal of Applied Analysis and Computation 1 Forum of Mathematics, Sigma 1 Journal of Computational Dynamics 1 Open Mathematics
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#### Cited in 21 Fields

 131 Ordinary differential equations (34-XX) 32 Biology and other natural sciences (92-XX) 23 Operator theory (47-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Partial differential equations (35-XX) 11 Real functions (26-XX) 10 Numerical analysis (65-XX) 8 Difference and functional equations (39-XX) 8 Integral equations (45-XX) 6 General topology (54-XX) 5 Probability theory and stochastic processes (60-XX) 4 Systems theory; control (93-XX) 3 Algebraic topology (55-XX) 2 Differential geometry (53-XX) 1 Measure and integration (28-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)